Year: 2019
Author: Shixia Lv, Zenggui Wang
Annals of Applied Mathematics, Vol. 35 (2019), Iss. 2 : pp. 159–179
Abstract
In this paper, we investigate initial value problems for hyperbolic mean
curvature flow with a dissipative term. By means of support functions of
a convex curve, a hyperbolic Monge-Ampère equation is derived, and this
equation could be reduced to the first order quasilinear systems in Riemann
invariants. Using the theory of the local solutions of Cauchy problems for
quasilinear hyperbolic systems, we discuss lower bounds on life-span of classical
solutions to Cauchy problems for dissipative hyperbolic mean curvature flow.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2019-AAM-18075
Annals of Applied Mathematics, Vol. 35 (2019), Iss. 2 : pp. 159–179
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: dissipative hyperbolic mean curvature flow hyperbolic Monge-Ampère equation lifespan.